Three-dimensional formulation of the Maxwell equations for stationary space–times

AbstractThis paper is concerned with the inverse scattering problem for the three-dimensional Maxwell equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near-field data at a fixed frequency. The factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.

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The time domain numerical method of three-dimensional conductors including radiation with lumped parameter circuit

Scientific Reports ◽

10.1038/s41598-021-83916-4 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Souma Jinno ◽

Shuji Kitora ◽

Hiroshi Toki ◽

Masayuki Abe

Keyword(s):

Numerical Method ◽

Time Domain ◽

Maxwell Equations ◽

Three Dimensional ◽

New Formalism ◽

Vector Potentials ◽

Lumped Parameter ◽

Radiation Theory ◽

Stable Solutions ◽

The Time Domain

AbstractWe formulate a numerical method on the transmission and radiation theory of three-dimensional conductors starting from the Maxwell equations in the time domain. We include the delay effect in the integral equations for the scalar and vector potentials rigorously, which is vital to obtain numerically stable solutions for transmission and radiation phenomena in conductors. We provide a formalism to connect the conductors to any passive lumped-parameter circuits. We show one example of numerical calculations, demonstrating that the new formalism provides stable solutions to the transmission and radiation phenomena.

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Soliton Model of the Photon / Fotona Solitona Modelis

Latvian Journal of Physics and Technical Sciences ◽

10.2478/lpts-2013-0013 ◽

2013 ◽

Vol 50 (2) ◽

pp. 60-67 ◽

Cited By ~ 4

Author(s):

I. Bersons

Keyword(s):

Nonlinear Equation ◽

Soliton Solution ◽

Vector Potential ◽

Maxwell Equations ◽

Three Dimensional ◽

Soliton Model ◽

Dimensionless Constant ◽

Dimensional Object ◽

Dimensional Soliton ◽

Wave Properties

A three-dimensional soliton model of photon with corpuscular and wave properties is proposed. We consider the Maxwell equations and assume that light induces the polarization and magnetization of vacuum only along the direction of its propagation. The nonlinear equation constructed for the vector potential is similar to the generalized nonlinear Schrödinger equation and comprises a dimensionless constant μ that determines the size-scale of soliton and is expected to be small. The obtained one-soliton solution of the proposed nonlinear equation describes a three-dimensional object identified as photon.

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Effect of welding current on arc behavior in tandem GMAW

International Journal of Modern Physics B ◽

10.1142/s0217979219400368 ◽

2019 ◽

Vol 33 (01n03) ◽

pp. 1940036

Author(s):

Juan Pu ◽

Shan Wu ◽

Qingxian Hu ◽

Yuxin Wang

Keyword(s):

Maxwell Equations ◽

Gas Metal Arc Welding ◽

Three Dimensional ◽

Welding Current ◽

Momentum Equation ◽

Metal Arc Welding ◽

Arc Pressure ◽

Tandem Gmaw ◽

Field Velocity ◽

Continuous Equation

A three-dimensional numerical model of double-arc in tandem gas metal arc welding (GMAW) was established based on the theory of arc physics, momentum equation, energy equation, continuous equation and Maxwell equations. The effects of different welding current on temperature field, velocity field and pressure field on the surface of workpieces were investigated. The results showed that the maximum values of arc temperature, arc plasma velocity and arc pressure on workpieces surface were increased with the increasing welding current. These maximum values occurred at the tip of double-wire. The current density and axial deflection angle of coupling arc were increased following the increasing welding current.

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ELECTROMAGNETIC RADIATION INDUCED BY A GRAVITATIONAL WAVE

International Journal of Modern Physics D ◽

10.1142/s0218271895000144 ◽

1995 ◽

Vol 04 (02) ◽

pp. 207-213

Author(s):

N.I. KOLOSNITSYN

Keyword(s):

Gravitational Wave ◽

Electromagnetic Waves ◽

Maxwell Equations ◽

Three Dimensional ◽

Geodesic Equation ◽

Electromagnetic Signal ◽

The Matrix ◽

Radiation Induced ◽

Isotropic Geodesic ◽

Laser Interferometric

Conversion of a gravitational wave into an electromagnetic one in a laser coherent emission field is studied. As a result two electromagnetic waves are created. For calculation the Maxwell equations in three-dimensional vector form are used. Optimal detection of the gravitational wave is discussed. In a particular case it is the laser interferometric antenna. This approach is identical to those based on integration of the isotropic geodesic equation, the eikonal equation, giving the three-pulsing response of the electromagnetic signal obtained by Estabrook and Wahlquist. It also results in the matrix method developed by Vinet for calculation of laser interferometric antennae.

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